Аналитическая геометрия. Шурыгин В.В. - 45 стр.

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Φ(e
i
) {e
i
}
b
1
b
2
b
n
=
Φ
1
1
Φ
1
2
. . . Φ
1
n
Φ
2
1
Φ
2
2
. . . Φ
2
n
Φ
n
1
Φ
n
2
. . . Φ
n
n
a
1
a
2
a
n
Φ {e
i
}
π
2
Φ
π
2
(a) = [a].
α =
π
2
Φ
π
2
: {x
a
; y
a
} 7→ {−y
a
; x
a
}.
[a] =
x
a
i
y
a
j
.
Φ
π
2
{i, j}
Φ
π
2
:
x
a
y
a
!
7−
0 1
1 0
!
x
a
y
a
!
A(2; 1) B(6; 3)
ABC
A B C A
/8-7+  1-8-3-M /-/8-98 0[ 1--3L0,68 -+36[-b Φ(e ) b*18-3-b +6[0/6 {e }
-8,-/08*7?,- ~8-:- |* +6[0/6\ /--8,-I*,0* ‚]òƒ ;-|,- [6.0/68? b ;6830)K
                                                              i                  i


,-; b0L*                                        
                  b1      Φ1 Φ12 . . . Φ1n     a1
                 2   12
                                                                               ‚]ãƒ
                                                                     
                 b   Φ1 Φ22 . . . Φ2n   a2                        
                
                
                
                     ==
                      =
                       
                       
                                    == == = = = ==
                                           
                                           
                                           
                                                                  ==   
                                                                       
                                                                       
                    n      n  n         n
                  b       Φ1 Φ2 . . . Φ n      an
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Φ b +6[0/* {e } =
   ðÍwÍñÍ r Z {b*/80 O-3;272 ‚]ڃ 161 )6/8,M /72)6M -+}*M O-3;27
            i


‚]ãƒ=
   ‡79 -.*36 00 .-b-3-86 b*18-36 ,6 2:-7 .30,98- 0/.-7?[-b68? /7*L2K
J}** -+-[,6)*,0*†
                                                      π
                                                      2


                                    Φ π2 (a) = [a].
¹-3;276 ‚]ƃ .30 α = .30,0;6*8 b0L
                          π
                          2

                          Φ π2 : {xa ; ya } 7→ {−ya ; xa }.                    ‚]aƒ
¼* ;-|,- 861|* .3*L/86b08? b /7*L2J}*; b0L*†

                                   [a] =
                                           xa i
                                                .                              ‚]`ƒ
                                           ya j
   ðÍwÍñÍ rZ {)0/708? ;6830 2 70,*M,-:- -.*368-36 Φ b +6[0/* {i, j}
0 [6.0/68? /--8b*8/8b2J}2J O-3;272 ‚]ڃ=
                                                                           π
                                                                           2


   ÏztxzZ                !                 !      !
                              xa                0 −1              xa
                Φ π2 :               7−→
                              ya                1 0               ya

Z± ˜TWµxXxXWx u³xTÍÎWW ³utuTuzÍ txyzuTÍ ³TW TxÿxXWW êÍwÍñZ
ðÍwÍñÍ rZ ‡6, Lb* b*3I0, A(2; 1) 0 B(6; 3) 36b,-/8-3-,,*:- 83*2:-7?K
,016 ABC = €6M80 83*8?J *:- b*3I0,2\ */70 0[b*/8,-\ )8- -+N-L b*3I0,
83*2:-7?,016 b .-39L1* A → B → C → A 9b79*8/9 Lb0|*,0*; .- )6/-b-M
/83*71* = ­0/8*;6 1--3L0,68 .39;-2:-7?,69 =
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